Slope of a Line
y = mx + b
y - h = m(x - h)
Ax + By = C
Intercepts
100
Find the slope of a line between (8, 1) and (13, - 3)
What is -4/5
100
Write an equation for a line that crosses the y-axis at -2 and has a slope of two-thirds.
y = 2/3x - 2
100
Write an equation in Point-Slope form that has a slope of 3/5 and crosses through the point (5, 11)
y - 11 = 3/5(x - 5)
100
Rewrite this equation into Slope-Intercept form: - 4x + 6y = 24
y = 4/6x + 4 or y = 2/3x + 4
100
Find the x-intercept of this equation: 5x - 2/3y = 45
x = 9
200
Find the slope of a line between (-8, 2) and (7, 4)
What is 2/15
200
Rewrite this equation in Slope-Intercept form (y = mx + b) 2x + 4y = 16
y = -1/2x + 4 or y = -2/4x + 4
200
What is the point (h, k) of this equation? y - 4 = 1/2(x + 1)
(- 1, 4)
200
Write in Slope-Intercept form: 8x - 3y = - 24
y = 8/3x + 8
200
Find the y-intercept of this equation: 0.75x + 3y = - 39
y = - 13
300
What is the slope of a vertical line?
Undefined
300
Write an equation for a line that has a slope of 1/1 and a y-intercept of -9
y = 1x - 9 or y = x - 9
300
Write an equation in Point-Slope form that has a slope of five and crosses through the point (-8, -3)
y + 3 = 5(x + 8)
300
Write in Slope-Intercept form: x + 8y = 20
y = -1/8x + 20/8 or y = -1/8x + 5/2 or y = -1/8x + 2.5
300
What is the y-intercept of the vertical line, x = 4 ?
Does Not Exist, the line x = 4 never crosses the y-axis
400
What is the slope of this line: y + 4 = 7(x - 2)
7/1
400
A baby elephant weighs 200 pounds when it is born, and gains twelve points every month. Write an equation in Slope-Intercept form for a baby elephant's growth
y = 12x + 200
400
Write an equation in Point-Slope form that has a slope of 3 and intercepts the x-axis at 10.
y - 0 = 3(x - 10) or y = 3(x - 10)
400
Write in y = mx + b form: 9x - 6y = 54
y = -9/6x - 9 or y = -3/2x - 9
400
Where does the line y = - 1.9x - 7 cross the y-axis?
y = - 7
500
Write the slope that fits this description: down 6, over seven
-6/7
500
What is the slope of a horizontal line?
zero
500
Write an equation in Point-Slope form for a line that has a slope of three-eighths and has a y-intercept of - 2
y + 2 = 3/8(x - 0) or y + 2 = 3/8x
500
Write in Standard form: y = - 7x - 12
7x + y = - 12
500
Find the x-intercept of this line: 14x - 2y = 42
x = 3
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